Search a number
-
+
101426592 = 2532574111
BaseRepresentation
bin1100000101110…
…10010110100000
321001212000010110
412002322112200
5201431122332
614021531320
72341053231
oct602722640
9231760113
10101426592
1152286333
1229b73b40
1318022c47
14d683088
158d874cc
hex60ba5a0

101426592 has 48 divisors (see below), whose sum is σ = 267345792. Its totient is φ = 33669120.

The previous prime is 101426561. The next prime is 101426593. The reversal of 101426592 is 295624101.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (101426593) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22617 + ... + 26727.

It is an arithmetic number, because the mean of its divisors is an integer number (5569704).

Almost surely, 2101426592 is an apocalyptic number.

101426592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101426592 is an abundant number, since it is smaller than the sum of its proper divisors (165919200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101426592 is a wasteful number, since it uses less digits than its factorization.

101426592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4381 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 101426592 is about 10071.0770029824. The cubic root of 101426592 is about 466.3556875992.

The spelling of 101426592 in words is "one hundred one million, four hundred twenty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 257 514 771 1028 1542 2056 3084 4111 4112 6168 8222 8224 12333 12336 16444 24666 24672 32888 49332 65776 98664 131552 197328 394656 1056527 2113054 3169581 4226108 6339162 8452216 12678324 16904432 25356648 33808864 50713296 101426592